82688170000 has 200 divisors, whose sum is σ = 212613641856. Its totient is φ = 31035648000.

The previous prime is 82688169947. The next prime is 82688170027. The reversal of 82688170000 is 7188628.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85509517 + ... + 85510483.

Almost surely, 2^82688170000 is an apocalyptic number.

82688170000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82688170000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106306820928).

82688170000 is an abundant number, since it is smaller than the sum of its proper divisors (129925471856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82688170000 is a wasteful number, since it uses less digits than its factorization.

82688170000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The spelling of 82688170000 in words is "eighty-two billion, six hundred eighty-eight million, one hundred seventy thousand".